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Finding the Third Proportional to 5,200.31 and 11,220.69

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Solution

The third proportional to 5,200.31 and 11,220.69 is: 24,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.31 : 11,220.69 = 11,220.69 : x
  2. Step 2: Convert to fraction form
    5,200.31/11,220.69 = 11,220.69/x
  3. Step 3: Cross multiply
    5,200.31x = 11,220.69 × 11,220.69
  4. Step 4: Simplify right side
    5,200.31x = 125,903,827.97
  5. Step 5: Solve for x
    x = 125,903,827.97/5,200.31
  6. Step 6: Final answer
    x = 24,210.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.